Integration & Antiderivatives

Emily Davis

5 min read

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Study Guide Overview

This study guide covers the constant of integration, focusing on its importance in indefinite integrals. It outlines the steps to find the constant using provided points and demonstrates the process with a worked example. It also includes practice questions, a glossary, key takeaways, and exam strategies related to this concept.

Key Concepts

Key Concept

When finding an indefinite integral, a constant of integration is needed. The general form of an indefinite integral is:

$\int f(x) , dx = F(x) + C$

where $F'(x) = f(x)$ and $C$ is any constant.

#Steps to Find the Constant

Integrate the Function:
- Perform the integration to find the general form of the antiderivative.
**Use A...

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Question 1 of 5

Why do we add a constant of integration, $C$ , when finding an indefinite integral? 🤔

To make the integral definite

Because the derivative of a constant is always zero